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Finding the Fourth Proportional to 157,725.70, 217,664.76 and 86,108.74

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Solution

The fourth proportional to 157,725.70, 217,664.76 and 86,108.74 is: 118,831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,725.70 : 217,664.76 = 86,108.74 : x
  2. Step 2: Convert to fraction form
    157,725.70/217,664.76 = 86,108.74/x
  3. Step 3: Cross multiply
    157,725.70x = 217,664.76 × 86,108.74
  4. Step 4: Simplify right side
    157,725.70x = 18,742,838,226.00
  5. Step 5: Solve for x
    x = 18,742,838,226.00/157,725.70
  6. Step 6: Final answer
    x = 118,831.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.